Finding the Third Proportional to 632,597,213,074 and 963,696,492,774

Step by Step Solution

1. Step 1: Write the proportion equation
   632,597,213,074 : 963,696,492,774 = 963,696,492,774 : x
2. Step 2: Convert to fraction form
   632,597,213,074/963,696,492,774 = 963,696,492,774/x
3. Step 3: Cross multiply
   632,597,213,074x = 963,696,492,774 × 963,696,492,774
4. Step 4: Simplify right side
   632,597,213,074x = 928,710,930,184,908,199,428,096
5. Step 5: Solve for x
   x = 928,710,930,184,908,199,428,096/632,597,213,074
6. Step 6: Final answer
   x = 1,468,092,035,486.52