Finding the Third Proportional to 98,570 and 152,913

Step by Step Solution

1. Step 1: Write the proportion equation
   98,570 : 152,913 = 152,913 : x
2. Step 2: Convert to fraction form
   98,570/152,913 = 152,913/x
3. Step 3: Cross multiply
   98,570x = 152,913 × 152,913
4. Step 4: Simplify right side
   98,570x = 23,382,385,569
5. Step 5: Solve for x
   x = 23,382,385,569/98,570
6. Step 6: Final answer
   x = 237,216.05