Finding the Third Proportional to 101,826 and 152,931

Step by Step Solution

1. Step 1: Write the proportion equation
   101,826 : 152,931 = 152,931 : x
2. Step 2: Convert to fraction form
   101,826/152,931 = 152,931/x
3. Step 3: Cross multiply
   101,826x = 152,931 × 152,931
4. Step 4: Simplify right side
   101,826x = 23,387,890,761
5. Step 5: Solve for x
   x = 23,387,890,761/101,826
6. Step 6: Final answer
   x = 229,684.86