Finding the Third Proportional to 53,192.25 and 78,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,192.25 : 78,736.50 = 78,736.50 : x
2. Step 2: Convert to fraction form
   53,192.25/78,736.50 = 78,736.50/x
3. Step 3: Cross multiply
   53,192.25x = 78,736.50 × 78,736.50
4. Step 4: Simplify right side
   53,192.25x = 6,199,436,432.25
5. Step 5: Solve for x
   x = 6,199,436,432.25/53,192.25
6. Step 6: Final answer
   x = 116,547.74