Finding the Third Proportional to 29,997 and 72,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,997 : 72,292.50 = 72,292.50 : x
2. Step 2: Convert to fraction form
   29,997/72,292.50 = 72,292.50/x
3. Step 3: Cross multiply
   29,997x = 72,292.50 × 72,292.50
4. Step 4: Simplify right side
   29,997x = 5,226,205,556.25
5. Step 5: Solve for x
   x = 5,226,205,556.25/29,997
6. Step 6: Final answer
   x = 174,224.27