Finding the Third Proportional to 71,847 and 152,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,847 : 152,779.50 = 152,779.50 : x
2. Step 2: Convert to fraction form
   71,847/152,779.50 = 152,779.50/x
3. Step 3: Cross multiply
   71,847x = 152,779.50 × 152,779.50
4. Step 4: Simplify right side
   71,847x = 23,341,575,620.25
5. Step 5: Solve for x
   x = 23,341,575,620.25/71,847
6. Step 6: Final answer
   x = 324,878.92