Finding the Third Proportional to 53,922 and 78,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,922 : 78,952.50 = 78,952.50 : x
2. Step 2: Convert to fraction form
   53,922/78,952.50 = 78,952.50/x
3. Step 3: Cross multiply
   53,922x = 78,952.50 × 78,952.50
4. Step 4: Simplify right side
   53,922x = 6,233,497,256.25
5. Step 5: Solve for x
   x = 6,233,497,256.25/53,922
6. Step 6: Final answer
   x = 115,602.12