Finding the Third Proportional to 75,597 and 164,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,597 : 164,071.50 = 164,071.50 : x
2. Step 2: Convert to fraction form
   75,597/164,071.50 = 164,071.50/x
3. Step 3: Cross multiply
   75,597x = 164,071.50 × 164,071.50
4. Step 4: Simplify right side
   75,597x = 26,919,457,112.25
5. Step 5: Solve for x
   x = 26,919,457,112.25/75,597
6. Step 6: Final answer
   x = 356,091.61