Finding the Third Proportional to 78,313 and 118,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,313 : 118,562.50 = 118,562.50 : x
2. Step 2: Convert to fraction form
   78,313/118,562.50 = 118,562.50/x
3. Step 3: Cross multiply
   78,313x = 118,562.50 × 118,562.50
4. Step 4: Simplify right side
   78,313x = 14,057,066,406.25
5. Step 5: Solve for x
   x = 14,057,066,406.25/78,313
6. Step 6: Final answer
   x = 179,498.50