Finding the Third Proportional to 175,257 and 380,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,257 : 380,038.50 = 380,038.50 : x
2. Step 2: Convert to fraction form
   175,257/380,038.50 = 380,038.50/x
3. Step 3: Cross multiply
   175,257x = 380,038.50 × 380,038.50
4. Step 4: Simplify right side
   175,257x = 144,429,261,482.25
5. Step 5: Solve for x
   x = 144,429,261,482.25/175,257
6. Step 6: Final answer
   x = 824,099.82