Finding the Third Proportional to 106,534 and 233,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,534 : 233,112.50 = 233,112.50 : x
2. Step 2: Convert to fraction form
   106,534/233,112.50 = 233,112.50/x
3. Step 3: Cross multiply
   106,534x = 233,112.50 × 233,112.50
4. Step 4: Simplify right side
   106,534x = 54,341,437,656.25
5. Step 5: Solve for x
   x = 54,341,437,656.25/106,534
6. Step 6: Final answer
   x = 510,085.40