Finding the Third Proportional to 98,594.50 and 160,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,594.50 : 160,978.50 = 160,978.50 : x
2. Step 2: Convert to fraction form
   98,594.50/160,978.50 = 160,978.50/x
3. Step 3: Cross multiply
   98,594.50x = 160,978.50 × 160,978.50
4. Step 4: Simplify right side
   98,594.50x = 25,914,077,462.25
5. Step 5: Solve for x
   x = 25,914,077,462.25/98,594.50
6. Step 6: Final answer
   x = 262,834.92