Finding the Third Proportional to 133,313 and 187,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,313 : 187,495.50 = 187,495.50 : x
2. Step 2: Convert to fraction form
   133,313/187,495.50 = 187,495.50/x
3. Step 3: Cross multiply
   133,313x = 187,495.50 × 187,495.50
4. Step 4: Simplify right side
   133,313x = 35,154,562,520.25
5. Step 5: Solve for x
   x = 35,154,562,520.25/133,313
6. Step 6: Final answer
   x = 263,699.43