Finding the Third Proportional to 164,045 and 253,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,045 : 253,063.50 = 253,063.50 : x
2. Step 2: Convert to fraction form
   164,045/253,063.50 = 253,063.50/x
3. Step 3: Cross multiply
   164,045x = 253,063.50 × 253,063.50
4. Step 4: Simplify right side
   164,045x = 64,041,135,032.25
5. Step 5: Solve for x
   x = 64,041,135,032.25/164,045
6. Step 6: Final answer
   x = 390,387.61