Finding the Third Proportional to 53,253 and 116,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,253 : 116,347.50 = 116,347.50 : x
2. Step 2: Convert to fraction form
   53,253/116,347.50 = 116,347.50/x
3. Step 3: Cross multiply
   53,253x = 116,347.50 × 116,347.50
4. Step 4: Simplify right side
   53,253x = 13,536,740,756.25
5. Step 5: Solve for x
   x = 13,536,740,756.25/53,253
6. Step 6: Final answer
   x = 254,196.77