Finding the Third Proportional to 77,436 and 164,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,436 : 164,173.50 = 164,173.50 : x
2. Step 2: Convert to fraction form
   77,436/164,173.50 = 164,173.50/x
3. Step 3: Cross multiply
   77,436x = 164,173.50 × 164,173.50
4. Step 4: Simplify right side
   77,436x = 26,952,938,102.25
5. Step 5: Solve for x
   x = 26,952,938,102.25/77,436
6. Step 6: Final answer
   x = 348,067.28