Finding the Third Proportional to 106,300 and 233,334

Step by Step Solution

1. Step 1: Write the proportion equation
   106,300 : 233,334 = 233,334 : x
2. Step 2: Convert to fraction form
   106,300/233,334 = 233,334/x
3. Step 3: Cross multiply
   106,300x = 233,334 × 233,334
4. Step 4: Simplify right side
   106,300x = 54,444,755,556
5. Step 5: Solve for x
   x = 54,444,755,556/106,300
6. Step 6: Final answer
   x = 512,180.20