Finding the Third Proportional to 123,237 and 178,051.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,237 : 178,051.50 = 178,051.50 : x
2. Step 2: Convert to fraction form
   123,237/178,051.50 = 178,051.50/x
3. Step 3: Cross multiply
   123,237x = 178,051.50 × 178,051.50
4. Step 4: Simplify right side
   123,237x = 31,702,336,652.25
5. Step 5: Solve for x
   x = 31,702,336,652.25/123,237
6. Step 6: Final answer
   x = 257,246.90