Finding the Third Proportional to 101,866 and 152,992

Step by Step Solution

1. Step 1: Write the proportion equation
   101,866 : 152,992 = 152,992 : x
2. Step 2: Convert to fraction form
   101,866/152,992 = 152,992/x
3. Step 3: Cross multiply
   101,866x = 152,992 × 152,992
4. Step 4: Simplify right side
   101,866x = 23,406,552,064
5. Step 5: Solve for x
   x = 23,406,552,064/101,866
6. Step 6: Final answer
   x = 229,777.87