Finding the Third Proportional to 194,492.50 and 402,484

Step by Step Solution

1. Step 1: Write the proportion equation
   194,492.50 : 402,484 = 402,484 : x
2. Step 2: Convert to fraction form
   194,492.50/402,484 = 402,484/x
3. Step 3: Cross multiply
   194,492.50x = 402,484 × 402,484
4. Step 4: Simplify right side
   194,492.50x = 161,993,370,256
5. Step 5: Solve for x
   x = 161,993,370,256/194,492.50
6. Step 6: Final answer
   x = 832,902.92