Finding the Third Proportional to 101,521 and 233,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,521 : 233,978.50 = 233,978.50 : x
2. Step 2: Convert to fraction form
   101,521/233,978.50 = 233,978.50/x
3. Step 3: Cross multiply
   101,521x = 233,978.50 × 233,978.50
4. Step 4: Simplify right side
   101,521x = 54,745,938,462.25
5. Step 5: Solve for x
   x = 54,745,938,462.25/101,521
6. Step 6: Final answer
   x = 539,257.28