Finding the Third Proportional to 137,133 and 206,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,133 : 206,077.50 = 206,077.50 : x
2. Step 2: Convert to fraction form
   137,133/206,077.50 = 206,077.50/x
3. Step 3: Cross multiply
   137,133x = 206,077.50 × 206,077.50
4. Step 4: Simplify right side
   137,133x = 42,467,936,006.25
5. Step 5: Solve for x
   x = 42,467,936,006.25/137,133
6. Step 6: Final answer
   x = 309,684.29