Finding the Third Proportional to 78,022.50 and 124,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,022.50 : 124,162.50 = 124,162.50 : x
2. Step 2: Convert to fraction form
   78,022.50/124,162.50 = 124,162.50/x
3. Step 3: Cross multiply
   78,022.50x = 124,162.50 × 124,162.50
4. Step 4: Simplify right side
   78,022.50x = 15,416,326,406.25
5. Step 5: Solve for x
   x = 15,416,326,406.25/78,022.50
6. Step 6: Final answer
   x = 197,588.21