Finding the Third Proportional to 103,410 and 149,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,410 : 149,098.50 = 149,098.50 : x
2. Step 2: Convert to fraction form
   103,410/149,098.50 = 149,098.50/x
3. Step 3: Cross multiply
   103,410x = 149,098.50 × 149,098.50
4. Step 4: Simplify right side
   103,410x = 22,230,362,702.25
5. Step 5: Solve for x
   x = 22,230,362,702.25/103,410
6. Step 6: Final answer
   x = 214,973.05