Finding the Third Proportional to 106,558.50 and 233,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,558.50 : 233,164.50 = 233,164.50 : x
2. Step 2: Convert to fraction form
   106,558.50/233,164.50 = 233,164.50/x
3. Step 3: Cross multiply
   106,558.50x = 233,164.50 × 233,164.50
4. Step 4: Simplify right side
   106,558.50x = 54,365,684,060.25
5. Step 5: Solve for x
   x = 54,365,684,060.25/106,558.50
6. Step 6: Final answer
   x = 510,195.66