Finding the Third Proportional to 98,421 and 152,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,421 : 152,689.50 = 152,689.50 : x
2. Step 2: Convert to fraction form
   98,421/152,689.50 = 152,689.50/x
3. Step 3: Cross multiply
   98,421x = 152,689.50 × 152,689.50
4. Step 4: Simplify right side
   98,421x = 23,314,083,410.25
5. Step 5: Solve for x
   x = 23,314,083,410.25/98,421
6. Step 6: Final answer
   x = 236,881.19