Finding the Third Proportional to 83,301 and 121,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,301 : 121,825.50 = 121,825.50 : x
2. Step 2: Convert to fraction form
   83,301/121,825.50 = 121,825.50/x
3. Step 3: Cross multiply
   83,301x = 121,825.50 × 121,825.50
4. Step 4: Simplify right side
   83,301x = 14,841,452,450.25
5. Step 5: Solve for x
   x = 14,841,452,450.25/83,301
6. Step 6: Final answer
   x = 178,166.56