Finding the Third Proportional to 78,827.50 and 113,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,827.50 : 113,320.50 = 113,320.50 : x
2. Step 2: Convert to fraction form
   78,827.50/113,320.50 = 113,320.50/x
3. Step 3: Cross multiply
   78,827.50x = 113,320.50 × 113,320.50
4. Step 4: Simplify right side
   78,827.50x = 12,841,535,720.25
5. Step 5: Solve for x
   x = 12,841,535,720.25/78,827.50
6. Step 6: Final answer
   x = 162,906.80