Finding the Third Proportional to 77,302.50 and 164,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,302.50 : 164,080.50 = 164,080.50 : x
2. Step 2: Convert to fraction form
   77,302.50/164,080.50 = 164,080.50/x
3. Step 3: Cross multiply
   77,302.50x = 164,080.50 × 164,080.50
4. Step 4: Simplify right side
   77,302.50x = 26,922,410,480.25
5. Step 5: Solve for x
   x = 26,922,410,480.25/77,302.50
6. Step 6: Final answer
   x = 348,273.48