Finding the Third Proportional to 78,602.50 and 111,113.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78,602.50 : 111,113.75 = 111,113.75 : x
2. Step 2: Convert to fraction form
   78,602.50/111,113.75 = 111,113.75/x
3. Step 3: Cross multiply
   78,602.50x = 111,113.75 × 111,113.75
4. Step 4: Simplify right side
   78,602.50x = 12,346,265,439.06
5. Step 5: Solve for x
   x = 12,346,265,439.06/78,602.50
6. Step 6: Final answer
   x = 157,072.17