Finding the Third Proportional to 96,781 and 152,083

Step by Step Solution

1. Step 1: Write the proportion equation
   96,781 : 152,083 = 152,083 : x
2. Step 2: Convert to fraction form
   96,781/152,083 = 152,083/x
3. Step 3: Cross multiply
   96,781x = 152,083 × 152,083
4. Step 4: Simplify right side
   96,781x = 23,129,238,889
5. Step 5: Solve for x
   x = 23,129,238,889/96,781
6. Step 6: Final answer
   x = 238,985.33