Finding the Third Proportional to 53,070.19 and 78,549.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,070.19 : 78,549.75 = 78,549.75 : x
2. Step 2: Convert to fraction form
   53,070.19/78,549.75 = 78,549.75/x
3. Step 3: Cross multiply
   53,070.19x = 78,549.75 × 78,549.75
4. Step 4: Simplify right side
   53,070.19x = 6,170,063,225.06
5. Step 5: Solve for x
   x = 6,170,063,225.06/53,070.19
6. Step 6: Final answer
   x = 116,262.32