Finding the Third Proportional to 137,070 and 205,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,070 : 205,606.50 = 205,606.50 : x
2. Step 2: Convert to fraction form
   137,070/205,606.50 = 205,606.50/x
3. Step 3: Cross multiply
   137,070x = 205,606.50 × 205,606.50
4. Step 4: Simplify right side
   137,070x = 42,274,032,842.25
5. Step 5: Solve for x
   x = 42,274,032,842.25/137,070
6. Step 6: Final answer
   x = 308,412.00