Finding the Third Proportional to 123,284 and 157,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,284 : 157,534.50 = 157,534.50 : x
2. Step 2: Convert to fraction form
   123,284/157,534.50 = 157,534.50/x
3. Step 3: Cross multiply
   123,284x = 157,534.50 × 157,534.50
4. Step 4: Simplify right side
   123,284x = 24,817,118,690.25
5. Step 5: Solve for x
   x = 24,817,118,690.25/123,284
6. Step 6: Final answer
   x = 201,300.40