Finding the Third Proportional to 106,688 and 233,464

Step by Step Solution

1. Step 1: Write the proportion equation
   106,688 : 233,464 = 233,464 : x
2. Step 2: Convert to fraction form
   106,688/233,464 = 233,464/x
3. Step 3: Cross multiply
   106,688x = 233,464 × 233,464
4. Step 4: Simplify right side
   106,688x = 54,505,439,296
5. Step 5: Solve for x
   x = 54,505,439,296/106,688
6. Step 6: Final answer
   x = 510,886.32