Finding the Third Proportional to 164,312 and 264,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,312 : 264,539.50 = 264,539.50 : x
2. Step 2: Convert to fraction form
   164,312/264,539.50 = 264,539.50/x
3. Step 3: Cross multiply
   164,312x = 264,539.50 × 264,539.50
4. Step 4: Simplify right side
   164,312x = 69,981,147,060.25
5. Step 5: Solve for x
   x = 69,981,147,060.25/164,312
6. Step 6: Final answer
   x = 425,904.05