Finding the Third Proportional to 101,142 and 152,982

Step by Step Solution

1. Step 1: Write the proportion equation
   101,142 : 152,982 = 152,982 : x
2. Step 2: Convert to fraction form
   101,142/152,982 = 152,982/x
3. Step 3: Cross multiply
   101,142x = 152,982 × 152,982
4. Step 4: Simplify right side
   101,142x = 23,403,492,324
5. Step 5: Solve for x
   x = 23,403,492,324/101,142
6. Step 6: Final answer
   x = 231,392.42