Finding the Third Proportional to 46,748 and 102,064

Step by Step Solution

1. Step 1: Write the proportion equation
   46,748 : 102,064 = 102,064 : x
2. Step 2: Convert to fraction form
   46,748/102,064 = 102,064/x
3. Step 3: Cross multiply
   46,748x = 102,064 × 102,064
4. Step 4: Simplify right side
   46,748x = 10,417,060,096
5. Step 5: Solve for x
   x = 10,417,060,096/46,748
6. Step 6: Final answer
   x = 222,834.35