Finding the Third Proportional to 83,580 and 122,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,580 : 122,167.50 = 122,167.50 : x
2. Step 2: Convert to fraction form
   83,580/122,167.50 = 122,167.50/x
3. Step 3: Cross multiply
   83,580x = 122,167.50 × 122,167.50
4. Step 4: Simplify right side
   83,580x = 14,924,898,056.25
5. Step 5: Solve for x
   x = 14,924,898,056.25/83,580
6. Step 6: Final answer
   x = 178,570.21