Finding the Third Proportional to 77,101.50 and 164,382

Step by Step Solution

1. Step 1: Write the proportion equation
   77,101.50 : 164,382 = 164,382 : x
2. Step 2: Convert to fraction form
   77,101.50/164,382 = 164,382/x
3. Step 3: Cross multiply
   77,101.50x = 164,382 × 164,382
4. Step 4: Simplify right side
   77,101.50x = 27,021,441,924
5. Step 5: Solve for x
   x = 27,021,441,924/77,101.50
6. Step 6: Final answer
   x = 350,465.84