Finding the Third Proportional to 164,077.50 and 253,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,077.50 : 253,117.50 = 253,117.50 : x
2. Step 2: Convert to fraction form
   164,077.50/253,117.50 = 253,117.50/x
3. Step 3: Cross multiply
   164,077.50x = 253,117.50 × 253,117.50
4. Step 4: Simplify right side
   164,077.50x = 64,068,468,806.25
5. Step 5: Solve for x
   x = 64,068,468,806.25/164,077.50
6. Step 6: Final answer
   x = 390,476.87