Finding the Third Proportional to 53,295 and 78,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,295 : 78,214.50 = 78,214.50 : x
2. Step 2: Convert to fraction form
   53,295/78,214.50 = 78,214.50/x
3. Step 3: Cross multiply
   53,295x = 78,214.50 × 78,214.50
4. Step 4: Simplify right side
   53,295x = 6,117,508,010.25
5. Step 5: Solve for x
   x = 6,117,508,010.25/53,295
6. Step 6: Final answer
   x = 114,785.78