Finding the Third Proportional to 77,275.50 and 164,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,275.50 : 164,758.50 = 164,758.50 : x
2. Step 2: Convert to fraction form
   77,275.50/164,758.50 = 164,758.50/x
3. Step 3: Cross multiply
   77,275.50x = 164,758.50 × 164,758.50
4. Step 4: Simplify right side
   77,275.50x = 27,145,363,322.25
5. Step 5: Solve for x
   x = 27,145,363,322.25/77,275.50
6. Step 6: Final answer
   x = 351,280.33