Finding the Third Proportional to 53,414 and 86,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,414 : 86,814.50 = 86,814.50 : x
2. Step 2: Convert to fraction form
   53,414/86,814.50 = 86,814.50/x
3. Step 3: Cross multiply
   53,414x = 86,814.50 × 86,814.50
4. Step 4: Simplify right side
   53,414x = 7,536,757,410.25
5. Step 5: Solve for x
   x = 7,536,757,410.25/53,414
6. Step 6: Final answer
   x = 141,100.79