Finding the Third Proportional to 137,533.50 and 290,034

Step by Step Solution

1. Step 1: Write the proportion equation
   137,533.50 : 290,034 = 290,034 : x
2. Step 2: Convert to fraction form
   137,533.50/290,034 = 290,034/x
3. Step 3: Cross multiply
   137,533.50x = 290,034 × 290,034
4. Step 4: Simplify right side
   137,533.50x = 84,119,721,156
5. Step 5: Solve for x
   x = 84,119,721,156/137,533.50
6. Step 6: Final answer
   x = 611,630.77