Finding the Third Proportional to 135,738 and 292,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,738 : 292,513.50 = 292,513.50 : x
2. Step 2: Convert to fraction form
   135,738/292,513.50 = 292,513.50/x
3. Step 3: Cross multiply
   135,738x = 292,513.50 × 292,513.50
4. Step 4: Simplify right side
   135,738x = 85,564,147,682.25
5. Step 5: Solve for x
   x = 85,564,147,682.25/135,738
6. Step 6: Final answer
   x = 630,362.52