Finding the Third Proportional to 133,172.50 and 286,109

Step by Step Solution

1. Step 1: Write the proportion equation
   133,172.50 : 286,109 = 286,109 : x
2. Step 2: Convert to fraction form
   133,172.50/286,109 = 286,109/x
3. Step 3: Cross multiply
   133,172.50x = 286,109 × 286,109
4. Step 4: Simplify right side
   133,172.50x = 81,858,359,881
5. Step 5: Solve for x
   x = 81,858,359,881/133,172.50
6. Step 6: Final answer
   x = 614,679.16