Finding the Third Proportional to 77,125.50 and 164,430

Step by Step Solution

1. Step 1: Write the proportion equation
   77,125.50 : 164,430 = 164,430 : x
2. Step 2: Convert to fraction form
   77,125.50/164,430 = 164,430/x
3. Step 3: Cross multiply
   77,125.50x = 164,430 × 164,430
4. Step 4: Simplify right side
   77,125.50x = 27,037,224,900
5. Step 5: Solve for x
   x = 27,037,224,900/77,125.50
6. Step 6: Final answer
   x = 350,561.42