Finding the Third Proportional to 53,599 and 78,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,599 : 78,792.50 = 78,792.50 : x
2. Step 2: Convert to fraction form
   53,599/78,792.50 = 78,792.50/x
3. Step 3: Cross multiply
   53,599x = 78,792.50 × 78,792.50
4. Step 4: Simplify right side
   53,599x = 6,208,258,056.25
5. Step 5: Solve for x
   x = 6,208,258,056.25/53,599
6. Step 6: Final answer
   x = 115,827.87