Finding the Third Proportional to 76,970.25 and 112,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,970.25 : 112,792.50 = 112,792.50 : x
2. Step 2: Convert to fraction form
   76,970.25/112,792.50 = 112,792.50/x
3. Step 3: Cross multiply
   76,970.25x = 112,792.50 × 112,792.50
4. Step 4: Simplify right side
   76,970.25x = 12,722,148,056.25
5. Step 5: Solve for x
   x = 12,722,148,056.25/76,970.25
6. Step 6: Final answer
   x = 165,286.56