Finding the Third Proportional to 70,164 and 149,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,164 : 149,089.50 = 149,089.50 : x
2. Step 2: Convert to fraction form
   70,164/149,089.50 = 149,089.50/x
3. Step 3: Cross multiply
   70,164x = 149,089.50 × 149,089.50
4. Step 4: Simplify right side
   70,164x = 22,227,679,010.25
5. Step 5: Solve for x
   x = 22,227,679,010.25/70,164
6. Step 6: Final answer
   x = 316,796.06