Finding the Third Proportional to 42,075 and 92,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,075 : 92,056.50 = 92,056.50 : x
2. Step 2: Convert to fraction form
   42,075/92,056.50 = 92,056.50/x
3. Step 3: Cross multiply
   42,075x = 92,056.50 × 92,056.50
4. Step 4: Simplify right side
   42,075x = 8,474,399,192.25
5. Step 5: Solve for x
   x = 8,474,399,192.25/42,075
6. Step 6: Final answer
   x = 201,411.75