Finding the Third Proportional to 77,314.50 and 164,106

Step by Step Solution

1. Step 1: Write the proportion equation
   77,314.50 : 164,106 = 164,106 : x
2. Step 2: Convert to fraction form
   77,314.50/164,106 = 164,106/x
3. Step 3: Cross multiply
   77,314.50x = 164,106 × 164,106
4. Step 4: Simplify right side
   77,314.50x = 26,930,779,236
5. Step 5: Solve for x
   x = 26,930,779,236/77,314.50
6. Step 6: Final answer
   x = 348,327.66