Finding the Third Proportional to 59,175 and 83,234.25

Step by Step Solution

1. Step 1: Write the proportion equation
   59,175 : 83,234.25 = 83,234.25 : x
2. Step 2: Convert to fraction form
   59,175/83,234.25 = 83,234.25/x
3. Step 3: Cross multiply
   59,175x = 83,234.25 × 83,234.25
4. Step 4: Simplify right side
   59,175x = 6,927,940,373.06
5. Step 5: Solve for x
   x = 6,927,940,373.06/59,175
6. Step 6: Final answer
   x = 117,075.46