Finding the Third Proportional to 106,520 and 232,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,520 : 232,106.50 = 232,106.50 : x
2. Step 2: Convert to fraction form
   106,520/232,106.50 = 232,106.50/x
3. Step 3: Cross multiply
   106,520x = 232,106.50 × 232,106.50
4. Step 4: Simplify right side
   106,520x = 53,873,427,342.25
5. Step 5: Solve for x
   x = 53,873,427,342.25/106,520
6. Step 6: Final answer
   x = 505,758.80