Finding the Third Proportional to 52,588.50 and 114,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,588.50 : 114,814.50 = 114,814.50 : x
2. Step 2: Convert to fraction form
   52,588.50/114,814.50 = 114,814.50/x
3. Step 3: Cross multiply
   52,588.50x = 114,814.50 × 114,814.50
4. Step 4: Simplify right side
   52,588.50x = 13,182,369,410.25
5. Step 5: Solve for x
   x = 13,182,369,410.25/52,588.50
6. Step 6: Final answer
   x = 250,670.19