Finding the Third Proportional to 46,632 and 101,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,632 : 101,539.50 = 101,539.50 : x
2. Step 2: Convert to fraction form
   46,632/101,539.50 = 101,539.50/x
3. Step 3: Cross multiply
   46,632x = 101,539.50 × 101,539.50
4. Step 4: Simplify right side
   46,632x = 10,310,270,060.25
5. Step 5: Solve for x
   x = 10,310,270,060.25/46,632
6. Step 6: Final answer
   x = 221,098.60