Finding the Third Proportional to 58,792.50 and 83,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,792.50 : 83,778.50 = 83,778.50 : x
2. Step 2: Convert to fraction form
   58,792.50/83,778.50 = 83,778.50/x
3. Step 3: Cross multiply
   58,792.50x = 83,778.50 × 83,778.50
4. Step 4: Simplify right side
   58,792.50x = 7,018,837,062.25
5. Step 5: Solve for x
   x = 7,018,837,062.25/58,792.50
6. Step 6: Final answer
   x = 119,383.20