Finding the Third Proportional to 46,677 and 102,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,677 : 102,424.50 = 102,424.50 : x
2. Step 2: Convert to fraction form
   46,677/102,424.50 = 102,424.50/x
3. Step 3: Cross multiply
   46,677x = 102,424.50 × 102,424.50
4. Step 4: Simplify right side
   46,677x = 10,490,778,200.25
5. Step 5: Solve for x
   x = 10,490,778,200.25/46,677
6. Step 6: Final answer
   x = 224,752.62