Finding the Third Proportional to 77,355 and 164,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,355 : 164,065.50 = 164,065.50 : x
2. Step 2: Convert to fraction form
   77,355/164,065.50 = 164,065.50/x
3. Step 3: Cross multiply
   77,355x = 164,065.50 × 164,065.50
4. Step 4: Simplify right side
   77,355x = 26,917,488,290.25
5. Step 5: Solve for x
   x = 26,917,488,290.25/77,355
6. Step 6: Final answer
   x = 347,973.48