Finding the Third Proportional to 40,864.50 and 83,774.25

Step by Step Solution

1. Step 1: Write the proportion equation
   40,864.50 : 83,774.25 = 83,774.25 : x
2. Step 2: Convert to fraction form
   40,864.50/83,774.25 = 83,774.25/x
3. Step 3: Cross multiply
   40,864.50x = 83,774.25 × 83,774.25
4. Step 4: Simplify right side
   40,864.50x = 7,018,124,963.06
5. Step 5: Solve for x
   x = 7,018,124,963.06/40,864.50
6. Step 6: Final answer
   x = 171,741.36