Finding the Third Proportional to 107,046 and 233,160

Step by Step Solution

1. Step 1: Write the proportion equation
   107,046 : 233,160 = 233,160 : x
2. Step 2: Convert to fraction form
   107,046/233,160 = 233,160/x
3. Step 3: Cross multiply
   107,046x = 233,160 × 233,160
4. Step 4: Simplify right side
   107,046x = 54,363,585,600
5. Step 5: Solve for x
   x = 54,363,585,600/107,046
6. Step 6: Final answer
   x = 507,852.56