Finding the Third Proportional to 137,253 and 205,071.25

Step by Step Solution

1. Step 1: Write the proportion equation
   137,253 : 205,071.25 = 205,071.25 : x
2. Step 2: Convert to fraction form
   137,253/205,071.25 = 205,071.25/x
3. Step 3: Cross multiply
   137,253x = 205,071.25 × 205,071.25
4. Step 4: Simplify right side
   137,253x = 42,054,217,576.56
5. Step 5: Solve for x
   x = 42,054,217,576.56/137,253
6. Step 6: Final answer
   x = 306,399.26