Finding the Third Proportional to 106,835 and 233,515.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,835 : 233,515.50 = 233,515.50 : x
2. Step 2: Convert to fraction form
   106,835/233,515.50 = 233,515.50/x
3. Step 3: Cross multiply
   106,835x = 233,515.50 × 233,515.50
4. Step 4: Simplify right side
   106,835x = 54,529,488,740.25
5. Step 5: Solve for x
   x = 54,529,488,740.25/106,835
6. Step 6: Final answer
   x = 510,408.47