Finding the Third Proportional to 34,577 and 78,130.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,577 : 78,130.50 = 78,130.50 : x
2. Step 2: Convert to fraction form
   34,577/78,130.50 = 78,130.50/x
3. Step 3: Cross multiply
   34,577x = 78,130.50 × 78,130.50
4. Step 4: Simplify right side
   34,577x = 6,104,375,030.25
5. Step 5: Solve for x
   x = 6,104,375,030.25/34,577
6. Step 6: Final answer
   x = 176,544.38