Finding the Third Proportional to 77,430 and 164,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,430 : 164,164.50 = 164,164.50 : x
2. Step 2: Convert to fraction form
   77,430/164,164.50 = 164,164.50/x
3. Step 3: Cross multiply
   77,430x = 164,164.50 × 164,164.50
4. Step 4: Simplify right side
   77,430x = 26,949,983,060.25
5. Step 5: Solve for x
   x = 26,949,983,060.25/77,430
6. Step 6: Final answer
   x = 348,056.09