Finding the Third Proportional to 71,580 and 161,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,580 : 161,719.50 = 161,719.50 : x
2. Step 2: Convert to fraction form
   71,580/161,719.50 = 161,719.50/x
3. Step 3: Cross multiply
   71,580x = 161,719.50 × 161,719.50
4. Step 4: Simplify right side
   71,580x = 26,153,196,680.25
5. Step 5: Solve for x
   x = 26,153,196,680.25/71,580
6. Step 6: Final answer
   x = 365,370.17