Finding the Third Proportional to 46,577 and 101,030.69

Step by Step Solution

1. Step 1: Write the proportion equation
   46,577 : 101,030.69 = 101,030.69 : x
2. Step 2: Convert to fraction form
   46,577/101,030.69 = 101,030.69/x
3. Step 3: Cross multiply
   46,577x = 101,030.69 × 101,030.69
4. Step 4: Simplify right side
   46,577x = 10,207,199,816.72
5. Step 5: Solve for x
   x = 10,207,199,816.72/46,577
6. Step 6: Final answer
   x = 219,146.79