Finding the Third Proportional to 46,670 and 102,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,670 : 102,412.50 = 102,412.50 : x
2. Step 2: Convert to fraction form
   46,670/102,412.50 = 102,412.50/x
3. Step 3: Cross multiply
   46,670x = 102,412.50 × 102,412.50
4. Step 4: Simplify right side
   46,670x = 10,488,320,156.25
5. Step 5: Solve for x
   x = 10,488,320,156.25/46,670
6. Step 6: Final answer
   x = 224,733.67