Finding the Third Proportional to 72,460 and 152,798

Step by Step Solution

1. Step 1: Write the proportion equation
   72,460 : 152,798 = 152,798 : x
2. Step 2: Convert to fraction form
   72,460/152,798 = 152,798/x
3. Step 3: Cross multiply
   72,460x = 152,798 × 152,798
4. Step 4: Simplify right side
   72,460x = 23,347,228,804
5. Step 5: Solve for x
   x = 23,347,228,804/72,460
6. Step 6: Final answer
   x = 322,208.51