Finding the Third Proportional to 101,860 and 152,982

Step by Step Solution

1. Step 1: Write the proportion equation
   101,860 : 152,982 = 152,982 : x
2. Step 2: Convert to fraction form
   101,860/152,982 = 152,982/x
3. Step 3: Cross multiply
   101,860x = 152,982 × 152,982
4. Step 4: Simplify right side
   101,860x = 23,403,492,324
5. Step 5: Solve for x
   x = 23,403,492,324/101,860
6. Step 6: Final answer
   x = 229,761.36