Finding the Third Proportional to 69,457.50 and 105,158.25

Step by Step Solution

1. Step 1: Write the proportion equation
   69,457.50 : 105,158.25 = 105,158.25 : x
2. Step 2: Convert to fraction form
   69,457.50/105,158.25 = 105,158.25/x
3. Step 3: Cross multiply
   69,457.50x = 105,158.25 × 105,158.25
4. Step 4: Simplify right side
   69,457.50x = 11,058,257,543.06
5. Step 5: Solve for x
   x = 11,058,257,543.06/69,457.50
6. Step 6: Final answer
   x = 159,208.98