Finding the Third Proportional to 53,292.50 and 113,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,292.50 : 113,970.50 = 113,970.50 : x
2. Step 2: Convert to fraction form
   53,292.50/113,970.50 = 113,970.50/x
3. Step 3: Cross multiply
   53,292.50x = 113,970.50 × 113,970.50
4. Step 4: Simplify right side
   53,292.50x = 12,989,274,870.25
5. Step 5: Solve for x
   x = 12,989,274,870.25/53,292.50
6. Step 6: Final answer
   x = 243,735.51