Finding the Third Proportional to 133,870 and 291,066

Step by Step Solution

1. Step 1: Write the proportion equation
   133,870 : 291,066 = 291,066 : x
2. Step 2: Convert to fraction form
   133,870/291,066 = 291,066/x
3. Step 3: Cross multiply
   133,870x = 291,066 × 291,066
4. Step 4: Simplify right side
   133,870x = 84,719,416,356
5. Step 5: Solve for x
   x = 84,719,416,356/133,870
6. Step 6: Final answer
   x = 632,848.41