Finding the Third Proportional to 77,467.50 and 164,160

Step by Step Solution

1. Step 1: Write the proportion equation
   77,467.50 : 164,160 = 164,160 : x
2. Step 2: Convert to fraction form
   77,467.50/164,160 = 164,160/x
3. Step 3: Cross multiply
   77,467.50x = 164,160 × 164,160
4. Step 4: Simplify right side
   77,467.50x = 26,948,505,600
5. Step 5: Solve for x
   x = 26,948,505,600/77,467.50
6. Step 6: Final answer
   x = 347,868.53