Finding the Third Proportional to 148,902 and 314,364

Step by Step Solution

1. Step 1: Write the proportion equation
   148,902 : 314,364 = 314,364 : x
2. Step 2: Convert to fraction form
   148,902/314,364 = 314,364/x
3. Step 3: Cross multiply
   148,902x = 314,364 × 314,364
4. Step 4: Simplify right side
   148,902x = 98,824,724,496
5. Step 5: Solve for x
   x = 98,824,724,496/148,902
6. Step 6: Final answer
   x = 663,689.71