Finding the Third Proportional to 76,900.88 and 164,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,900.88 : 164,736.50 = 164,736.50 : x
2. Step 2: Convert to fraction form
   76,900.88/164,736.50 = 164,736.50/x
3. Step 3: Cross multiply
   76,900.88x = 164,736.50 × 164,736.50
4. Step 4: Simplify right side
   76,900.88x = 27,138,114,432.25
5. Step 5: Solve for x
   x = 27,138,114,432.25/76,900.88
6. Step 6: Final answer
   x = 352,897.34