Finding the Third Proportional to 45,585 and 71,203.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,585 : 71,203.50 = 71,203.50 : x
2. Step 2: Convert to fraction form
   45,585/71,203.50 = 71,203.50/x
3. Step 3: Cross multiply
   45,585x = 71,203.50 × 71,203.50
4. Step 4: Simplify right side
   45,585x = 5,069,938,412.25
5. Step 5: Solve for x
   x = 5,069,938,412.25/45,585
6. Step 6: Final answer
   x = 111,219.45