Finding the Third Proportional to 74,215 and 152,066

Step by Step Solution

1. Step 1: Write the proportion equation
   74,215 : 152,066 = 152,066 : x
2. Step 2: Convert to fraction form
   74,215/152,066 = 152,066/x
3. Step 3: Cross multiply
   74,215x = 152,066 × 152,066
4. Step 4: Simplify right side
   74,215x = 23,124,068,356
5. Step 5: Solve for x
   x = 23,124,068,356/74,215
6. Step 6: Final answer
   x = 311,582.14